34464621056 has 80 divisors (see below), whose sum is σ = 73153502400. Its totient is φ = 16175075328.

The previous prime is 34464621053. The next prime is 34464621071. The reversal of 34464621056 is 65012646443.

It is not an unprimeable number, because it can be changed into a prime (34464621053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1044101 + ... + 1076603.

It is an arithmetic number, because the mean of its divisors is an integer number (914418780).

Almost surely, 2^34464621056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34464621056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36576751200).

34464621056 is an abundant number, since it is smaller than the sum of its proper divisors (38688881344).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34464621056 is a wasteful number, since it uses less digits than its factorization.

34464621056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32649 (or 32633 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 41.

The spelling of 34464621056 in words is "thirty-four billion, four hundred sixty-four million, six hundred twenty-one thousand, fifty-six".